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Finding the Fourth Proportional to 315,390.40, 473,161.20 and 105,030.16

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Solution

The fourth proportional to 315,390.40, 473,161.20 and 105,030.16 is: 157,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,390.40 : 473,161.20 = 105,030.16 : x
  2. Step 2: Convert to fraction form
    315,390.40/473,161.20 = 105,030.16/x
  3. Step 3: Cross multiply
    315,390.40x = 473,161.20 × 105,030.16
  4. Step 4: Simplify right side
    315,390.40x = 49,696,196,541.79
  5. Step 5: Solve for x
    x = 49,696,196,541.79/315,390.40
  6. Step 6: Final answer
    x = 157,570.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.